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A paired comparison approach for the analysis of sets of Likert-scale responses.

Dittrich, Regina and Francis, Brian and Hatzinger, Reinhold and Katzenbeisser, Walter (2007) A paired comparison approach for the analysis of sets of Likert-scale responses. Statistical Modelling, 7 (1). 3 - 28.

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Abstract

This paper provides an alternative methodology for the analysis of a set of Likert responses measured on a common attitudinal scale when the primary focus of interest is on the relative importance of items in the set. The method makes fewer assumptions about the distribution of the responses than the more usual approaches such as comparisons of means, MANOVA or ordinal data methods. The approach transforms the Likert responses into paired comparison responses between the items. The complete multivariate pattern of responses thus produced can be analyzed by an appropriately reformulated paired comparison model. The dependency structure between item responses can also be modelled flexibly. The advantage of this approach is that sets of Likert responses can be analyzed simultaneously within the Generalized Linear Model framework, providing standard likelihood-based inference for model selection. This method is applied to a recent international survey on the importance of environmental problems.

Item Type: Article
Journal or Publication Title: Statistical Modelling
Uncontrolled Keywords: paired comparisons • Bradley–Terry model • response patterns • log-linear model • generalized linear model • GLIM ; R • Likert scale
Subjects: Q Science > QA Mathematics
Departments: Faculty of Science and Technology > Mathematics and Statistics
ID Code: 28022
Deposited By: Prof Brian Francis
Deposited On: 02 Nov 2009 11:06
Refereed?: Yes
Published?: Published
Last Modified: 09 Oct 2013 15:17
Identification Number:
URI: http://eprints.lancs.ac.uk/id/eprint/28022

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